Open Access Theses and Dissertations

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University of Waterloo

1. Rattan, Amarpreet. Character Polynomials and Lagrange Inversion.

Degree: 2005, University of Waterloo

URL: http://hdl.handle.net/10012/1029 

In this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form for Kerov?s polynomials, which exactly evaluate the characters of the symmetric group scaled by degree and a constant. We use this explicit expression to obtain specific information about Kerov polynomials, including partial answers to positivity questions. We then use the expression obtained for Kerov?s polynomials to obtain results about Stanley?s character polynomials.

Subjects/Keywords: Mathematics; representation theory; algebra; lagrange inversion; polynomials; generating series

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Rattan, A. (2005). Character Polynomials and Lagrange Inversion. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/1029

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Rattan, Amarpreet. “Character Polynomials and Lagrange Inversion.” 2005. Thesis, University of Waterloo. Accessed January 15, 2021. http://hdl.handle.net/10012/1029.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Rattan, Amarpreet. “Character Polynomials and Lagrange Inversion.” 2005. Web. 15 Jan 2021.

Vancouver:

Rattan A. Character Polynomials and Lagrange Inversion. [Internet] [Thesis]. University of Waterloo; 2005. [cited 2021 Jan 15]. Available from: http://hdl.handle.net/10012/1029.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rattan A. Character Polynomials and Lagrange Inversion. [Thesis]. University of Waterloo; 2005. Available from: http://hdl.handle.net/10012/1029

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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